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Algebra

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Q: #6

A: Any line parallel to 7x+y=3 will have form 7x+y=k.

Q: Find the inverse Step by step explanation on how to perform the row operations to find the inverse.

A: First we write using augmented matrix.

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as

Q: The bar graph to the right shows the average number of hours that people sleep per day, by age group...

A: We are given a bar graph

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1>=21

Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

Q: Fill in the blank to make the expression a perfect square. 2 12y X

A: The given expression is,

Q: |4 - 8(3 - 12)| - |5 - 11| = im having trouble figuring out how to do this problem, should i start w...

A: Yes, the given problem can be start with parenthesis.

Q: ( The length of a rectangular garden is two feet longer than its width) (A) Label each edge o...

A: part(a)The length of a rectangular garden is two feet longer than its width.Let the width of the rec...

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: Suppose that the functions u and w are defined as follows. =u(x)=x^2+6 w(x)=√x+1 Find the following....

A: Given information:The function u and w defined asu(x)=x^2+6w(x)=√x+1

Q: Question H An athlete whose event is the shot put releases a shot. When the shot whose path is shown...

A: Given infromation:An athlete whose event is the shot put release a shot. When the shot whose path is...

Q: Does the relation x(x + y) = 1 specify a function? Explain.

A: Refer to the question, we have to specify the relation, x(x + y) = 1 is a function.Then according to...

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: We first use division property of logarithm.

Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: For f(x) 1-x and g(x)= 2x +x+6, find the following functions a. (f o g)(x): b. (gof)(x); c. (fo g)2)...

A: Answer: (a): -2x^2-x-5

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. X+7 ...

A: Procedure to solve the rational inequality.

Q: (7)(-8)_____-14

A: Consider the given rational expression:Factorizing the numerator and denominator and then cancelling...

Q: Condense the expression to the logarithm of a single quantity. log x −2log(x +1)

A: Given,

Q: Step by step explanation how to solve this problem.

A: Given,

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of parab...

Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

Q: 125=(5u+8)2

A: Consider the given equation

Q: The functions f(x)=0.0875x-1.3x + 61.7 and g(x)=0.0875x +1.9x +11.1 model a car's stopping distance,...

A: (a) For x=35 we have to find f(35).Answer: Stopping distance on dry pavement = 123 feet.

Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

Q: How do you solve the polynomial inequality x4 + 36 ≤ 13x2

A: The given polynomial inequality is x^4+36≤-13x^2.

Q: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: Find the coordinates of the vertex of the quadratic functions beneath: y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

Q: How do i solve -2(3y-2)-4 = -4(y-2)

A: Refer to the question, here we have to find the value of y for the provided equation,

Q: The length of one leg of a right triangle is 12 meters. The length of the hypotenuse is 8 meters lon...

A: Given information:The length of one leg of a right triangle is 12 meters. The length of the hypotenu...

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

Q: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

Q: Explain how the vertical line test is used to determine whether a graph represents a function. Show ...

A: The basic definition of a function is that for every unique input x there is a unique output y.the v...

Q: #23

A: Given: The point that the line passes through is (−2,3).The equation of the line which is perpendicu...

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution...

A: Given,

Q: #33 and #34

A: Note: We are authorized to answer one question at a time, since there are two question, so we are an...

Q: For what value of x is g(x)=−5? please see attached

A: We first find the point which has y=-5That point is (6,-5)

Q: Hello, I am not confident in this Linear Algebra question: Suppose that a nonhomogeneous system wi...

A: The system is equivalent to Ax=b.We have 10 linear equations in 8 unknowns. So dimension of A= 10x8.

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...

A: The given expression is,

Q: Simplify the difference quotient x)-fa) for the following function. x-a 3 f(x)x 8X

A: Firstly, we find f(a) by replacing x by a in f(x). < Then substitute the values of f(x) and f(a)....

Q: You have $1200 for your trip to the beach. You estimate that it will cost $160 a day for food entert...

A: Given:The total amount for the trip to the beach is $1200.The cost of food, entertainment and hotel ...

Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A: Click to see the answer

Q: List all values of x for which the rational expression is undefined 12/-3x

A: To calculate the all possible value of x for which the rational expression 12/(-3x) undefined. Now, ...

Q: Solve for x. 32x-10 -81 The solution set is Enter your answer in the answer box e Quizzes & Tests In...

A: Given that

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve as shown on board.

Q: Create a Venn diagram to illustrate each of the following:26. (D ⋃ E)c ⋂ F

A: The shaded area is (D U E)

Q: (2-4i)(5-7i) =

A: The steps of simplification are shown on board. Here we se the result i^2 =-1 and then collect the ...

Q: Factor completely 1 1 3 2 (x+ 1) 2 - (x+1)2 (x - 8) 2 (x-8)

A: To factorize the provided algebraic expression which is mentioned below,

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: Given,